What is the Least Common Multiple of 96458 and 96463?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 96458 and 96463 is 9304628054.
LCM(96458,96463) = 9304628054
Least Common Multiple of 96458 and 96463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96458 and 96463, than apply into the LCM equation.
GCF(96458,96463) = 1
LCM(96458,96463) = ( 96458 × 96463) / 1
LCM(96458,96463) = 9304628054 / 1
LCM(96458,96463) = 9304628054
Least Common Multiple (LCM) of 96458 and 96463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96458 and 96463. First we will calculate the prime factors of 96458 and 96463.
Prime Factorization of 96458
Prime factors of 96458 are 2, 17, 2837. Prime factorization of 96458 in exponential form is:
96458 = 21 × 171 × 28371
Prime Factorization of 96463
Prime factors of 96463 are 19, 5077. Prime factorization of 96463 in exponential form is:
96463 = 191 × 50771
Now multiplying the highest exponent prime factors to calculate the LCM of 96458 and 96463.
LCM(96458,96463) = 21 × 171 × 28371 × 191 × 50771
LCM(96458,96463) = 9304628054
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